Question

The construction of $\Delta EFG$ when $FG=3$ $cm$ and m$\angle G={60}^{\circ }$ is possible when difference of $EF$ and $EG$ is equal to:

• A. $3.2$ $cm$
• B. $3.1$ $cm$
• C. $3$ $cm$
• D. $2.8$ $cm$

Answer 1

Answer: (D)

The difference possible isn't a constant

It could range from $0$ to less than $3cm$

It says less than $3cm$, and not equal to $3cm$ . This is so because sum of 2 sides is always greater than the third side in a triangle.

$\therefore EF-EG<3cm$

From the given options, D is the only possible solution as the rest are $\ge 3cm$